The Fx Engine: Computational Unification of Mathematical Constants, Biological Structures, and Complexity Classes

This research presents a unified mathematical framework based on the "Fx Collision Engine." By analyzing the transcendental decimals of $2\pi$, this work identifies a periodic structure and a fundamental constant (4.5) that governs numerical collisions. Key breakthroughs included in this deposit: Riemann Hypothesis: Proof of the deterministic distribution of zeros on the critical line (1/2) through frequency analysis. P vs NP: Reduction of NP-complexity to Polynomial time (P) by demonstrating that seemingly chaotic systems follow a structured algorithmic logic. Goldbach’s Conjecture: Application of the Fx Engine to the distribution of prime numbers. Physical Unification: Evidence of the 4.5 constant in biological and physical structures. This deposit includes the main 90-page manuscript and the foundational "Theorem of 19" supporting documents.